### Question #179
If $x$ and $y$ are positive integers, is $x/y$ an even integer?
* **Option A:** [1] $x$ is a multiple of 4.
* **Option B:** [2] $y$ is an even integer.
### Dynamic Answer Explanation
If statement 1 is true, $x$ could be 4, but if $y=4$, $x/y=1$ (Odd). If $y=2$, $x/y=2$ (Even). Insufficient. If statement 2 is true, $y$ is even, but without knowing $x$, we cannot determine sufficiency. Combining both, if $x=4$ and $y=2$, $x/y=2$ (Even). If $x=4$ and $y=4$, $x/y=1$ (Odd). Still insufficient! Therefore, Option E is correct.
Verbal Logic Challenge #179: Assumption Strategies
Core Takeaway:
A high-yield diagnostic question to test your GMAT Focus accuracy.
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